3311330331330 has 192 divisors, whose sum is σ = 9872840989440. Its totient is φ = 754304721408.

The previous prime is 3311330331319. The next prime is 3311330331347. The reversal of 3311330331330 is 331330331133.

3311330331330 is a `hidden beast` number, since 3 + 3 + 1 + 13 + 303 + 313 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3311330331294 and 3311330331303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392194089 + ... + 392202531.

It is an arithmetic number, because the mean of its divisors is an integer number (51421046820).

Almost surely, 2^{3311330331330} is an apocalyptic number.

3311330331330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311330331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936420494720).

3311330331330 is an abundant number, since it is smaller than the sum of its proper divisors (6561510658110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3311330331330 is a wasteful number, since it uses less digits than its factorization.

3311330331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 3311330331330 its reverse (331330331133), we get a palindrome (3642660662463).

The spelling of 3311330331330 in words is "three trillion, three hundred eleven billion, three hundred thirty million, three hundred thirty-one thousand, three hundred thirty".